Discover that the place of all points equidistant from two fixed points is a straight line

Use basic tools to construct angle bisectors

Use circles and intersections of circles to find points equidistant from two fixed points

Use basic tools to construct perpendicular bisectors

Solve map scale word problems (scale, distance)

Use a flow chart to build the Collatz Sequence

Use geometric tools to construct circles to meet requirements

Interpret flow charts used to build sequences

Identify sequence relationships with images and words

Continue and extend visual sequences

Complete and continue visual sequences

Round expressions in scientific notation

Round to a given number of significant figures

Convert repeating decimals into fractions

Identify rational and irrational numbers

Use geometric arguments to show that π is between 3 and 4

Solve complex problems involving the angle sum of a triangle

Solve probability word problems using percentages

Compare averages of different parts of the same data set (Simpson’s paradox)

Calculate conditional probabilities of events, and use the values to determine whether or not they are independent

Use the multiplicative principle to compare likelihoods of compound events

Use the multiplicative principle to calculate probabilities in a large sample space

Find and use prime factorizations to identify composite factors

Calculate the rate of simple interest and represent it with a graph

Use the additive power law to complete division equations

Simplify expressions involving whole powers (different bases)

Represent repeated multiplication of negative numbers with powers

Solve linear equations (variables on both sides)

Model related linear relationships and interpret the change in coefficients graphically

Represent functions using algebraic notation, graphing tools, and tables

Plot points, segments, and lines to connect reflections and translations

Use an algorithm represented in a flow chart to construct triangles

Match linear equations with their graphical representation

Relate factors among equivalent expressions to find solutions to quadratic equations

Identify segments with irrational lengths

Represent a proportional relationship with algebraic equations and Cartesian graphs

Represent linear functions by sketching their graphs and interpret intersections

Simplify expressions involving whole powers (different bases)

Use the additive and multiplicative power laws to evaluate and compare expressions

Connect the reflection symmetry of parabolas with the form of their quadratic equation

Use geometric constructions to construct precise angles measuring 30, 45, 105, and 120 degrees

Use angles formed by a transversal to identify parallel and intersecting lines

Use the angle sum of consecutive angles formed by a transversal to draw geometric conclusions

Use the properties of alternate angles to solve geometric problems

Apply reflections and rotations of shapes in the plane

Plot points and lines to discover that the locus of points equidistant to the sides of an angle bisects the angle

Match visual sequences with verbal descriptions

Derive and use an explicit formula for the triangular numbers from a recursive representation of the sequence

Solve equations involving the angle sum of a triangle

Explore when and how two sides and an angle define a triangle uniquely

Adjust the coefficients of linear equations to pass through as many points as possible on the Cartesian plane

Use different factoring techniques to create and identify equivalent polynomials

Represent repeating decimals with repeating notation

Add and subtract repeating decimals

Use radicals to represent side lengths of squares

Represent and analyze continuous data using a histogram

Interpret data presented in graphs and tables to suggest and test criteria for decision making in context

Identify correlations between variables by studying graphs and tables of values (Berkson's paradox)

Identify misleading representations of data sets

Identify misleading axis scales and intervals for data representations